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Finding the Third Proportional to 27,474.75 and 41,738.25

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Solution

The third proportional to 27,474.75 and 41,738.25 is: 63,406.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,474.75 : 41,738.25 = 41,738.25 : x
  2. Step 2: Convert to fraction form
    27,474.75/41,738.25 = 41,738.25/x
  3. Step 3: Cross multiply
    27,474.75x = 41,738.25 × 41,738.25
  4. Step 4: Simplify right side
    27,474.75x = 1,742,081,513.06
  5. Step 5: Solve for x
    x = 1,742,081,513.06/27,474.75
  6. Step 6: Final answer
    x = 63,406.64

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.